Finding the Fourth Proportional to 1,065.52, 1,470.41 and 599.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.52 : 1,470.41 = 599.77 : x
2. Step 2: Convert to fraction form
   1,065.52/1,470.41 = 599.77/x
3. Step 3: Cross multiply
   1,065.52x = 1,470.41 × 599.77
4. Step 4: Simplify right side
   1,065.52x = 881,908.89
5. Step 5: Solve for x
   x = 881,908.89/1,065.52
6. Step 6: Final answer
   x = 827.68